82583521037 has 2 divisors, whose sum is σ = 82583521038. Its totient is φ = 82583521036.

The previous prime is 82583520983. The next prime is 82583521039. The reversal of 82583521037 is 73012538528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82467183241 + 116337796 = 287171^2 + 10786^2 .

It is a cyclic number.

It is not a de Polignac number, because 82583521037 - 2⁸ = 82583520781 is a prime.

Together with 82583521039, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82583521039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41291760518 + 41291760519.

It is an arithmetic number, because the mean of its divisors is an integer number (41291760519).

Almost surely, 2^82583521037 is an apocalyptic number.

It is an amenable number.

82583521037 is a deficient number, since it is larger than the sum of its proper divisors (1).

82583521037 is an equidigital number, since it uses as much as digits as its factorization.

82583521037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 82583521037 in words is "eighty-two billion, five hundred eighty-three million, five hundred twenty-one thousand, thirty-seven".